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Theta functions, kernel functions, and Abelian integrals, [electronic resource] by Dennis A. Hejhal.

By: Material type: TextTextSeries: Memoirs of the American Mathematical Society ; no. 129.Publication details: [Providence R.I., American Mathematical Society, 1972]Description: 1 online resource (112 p.)ISBN:
  • 9780821899274 (online)
Subject(s): Additional physical formats: Theta functions, kernel functions, and Abelian integrals,DDC classification:
  • 510/.8 s 515/.98
LOC classification:
  • QA3 .A57 no. 129 QA345
Online resources:
Contents:
Introduction 1. Review of the classical kernels 2. Preliminaries on cross-cuts, periods, and the automorphic group 3. The Klein prime function 4. Factorization theorems for differentials and Szeg�o kernels 5. Existence proof for the classical Szeg�o kernel function 6. On the number of Szeg�o kernels 7. Some remarks on classical kernels and theta functions 8. Kernels and Abelian differentials 9. Generalizations 10. Some further identities 11. The elliptic case 12. A method of duality Addenda
Item type: E-BOOKS
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IMSc Library Link to resource Available EBK12582

Includes bibliographical references.

Introduction 1. Review of the classical kernels 2. Preliminaries on cross-cuts, periods, and the automorphic group 3. The Klein prime function 4. Factorization theorems for differentials and Szeg�o kernels 5. Existence proof for the classical Szeg�o kernel function 6. On the number of Szeg�o kernels 7. Some remarks on classical kernels and theta functions 8. Kernels and Abelian differentials 9. Generalizations 10. Some further identities 11. The elliptic case 12. A method of duality Addenda

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Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012

Mode of access : World Wide Web

Description based on print version record.

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The Institute of Mathematical Sciences, Chennai, India